Home
Class 12
MATHS
The angle between the two tangents drawn...

The angle between the two tangents drawn from a point p to the circle `x^(2)+y^(2)=a^(2)` is `120^(@)`. Show that the locus of P is the circle `x^(2)+y^(2)=(4a^(2))/(3)`

Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise INTEGER ANSWER TYPE|5 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the two tangents from the origin to the circle (x-7)^2+(y+1)^2=25

The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -

Find the lengths of the tangents drawn from the point. (-4,5) to the circle x^(2)+y^(2)=16

Find the lengths of the tangents drawn from the point. (-1,1) to the circle x^(2)+y^(2)-2x+4y+1=0

The number of tangents that can be drawn from the point (8,6) to the circle x^2+y^2-100=0 is

Find the lengths of the tangents drawn from the point. (x_(1),y_(1)) to the circle x^(2)+y^(2)+2x=0

If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is

Find the lengths of the tangent drawn from the point. (2,-2) to the circle 3(x^(2)+y^(2))-4x-7y=3

The angle between the pair of tangents drawn to the ellipse 3x^(2) + 2y^(2) =5 from the point (1, 2) is-

The angle between a pair of tangents drawn from a point P to the circle x^2+y^2+4x-6y+9sin^2alpha+13cos^2alpha=0 is 2alpha The equation of the locus of the point P is

CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. The equation of the tangent to the curve y=a+bx+cx^() where it meet th...

    Text Solution

    |

  2. If x(1) and y(1) be the intercepts on the x and y-axis respectively of...

    Text Solution

    |

  3. Show that the length of the portion of the tangent to the curve x^((2)...

    Text Solution

    |

  4. Show that the sum of the intercept on the coordinates axes of tangent ...

    Text Solution

    |

  5. If h and k be the intercept on the coordinates axes of tangent to the ...

    Text Solution

    |

  6. Find the equation of the normal to the parabola y^(2)=4ax at a point (...

    Text Solution

    |

  7. Find the coodition that the straight line lx+my+n=0 is a normal to the...

    Text Solution

    |

  8. Find the coodition that the straight line lx+my+n=0 is a normal to the...

    Text Solution

    |

  9. If the line lx+my=1 be a normal to the hyperbola (x^(2))/(a^(2))-(y...

    Text Solution

    |

  10. If the striaht line lx+my=1 is a normal to the parbaola y^(2)=4ax then...

    Text Solution

    |

  11. If the line lx+my=1 is normal to the hyperbola (x^(2))/(9)-(y^(2))/(4)...

    Text Solution

    |

  12. Show that the line (ax)/(3)+(by)/(4)=c be a normal to the ellipse (x^2...

    Text Solution

    |

  13. If the line x cos alpha+ y sin alpha=p be a normal to the hyperbola b^...

    Text Solution

    |

  14. Show that the normal to the curve x=3 cos theta- cos^(2) theta, y= 3 s...

    Text Solution

    |

  15. Show that the normal at any point theta to the curve x=a(cos theta+ th...

    Text Solution

    |

  16. Show that the normal to the rectangular hyperbola xy=c^(2) at point t ...

    Text Solution

    |

  17. The angle between the two tangents drawn from a point p to the circle ...

    Text Solution

    |

  18. Find the equation of tangent to the curve xy^(2)=4(4-x) where it meet ...

    Text Solution

    |

  19. Find the slope of normal to the ellipse , (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  20. Find the equation of the tangent to the curve x^((2)/(3))+y^((2)/(3))=...

    Text Solution

    |